The Octagon - the name given to the ring or cage used in Ultimate Fighting Championship (UFC) bouts - takes its name from its shape. It is a natural rock formation composed of about 40,000 interlocking basalt columns that were created as the lava from an ancient volcanic eruption slowly cooled. Hexagons are also found in the Giant's Causeway located in northeast Ireland. The nests of paper wasps also contain hexagonal cells where they raise their young. Natural hexagons also include beehives, where each cell in a honeycomb that the bees construct to hold honey is hexagonal. The building is a five-sided, regular pentagon.Īnother well-known five-sided regular pentagon is the home plate on a baseball diamond.Ī giant shopping mall near Shanghai, China, is built in the shape of a regular pentagon and is sometimes called the Fake Pentagon.Įvery snowflake starts out as a hexagon, but temperature and moisture levels add branches and tendrils so that each one ends up looking different. Department of Defense - takes its name from its shape. The Pentagon - the headquarters for the U.S. Because of their great strength, triangles are used in the construction of bridges and bicycle frames. Depending on the width and pitch of the roof, the truss might incorporate equilateral or isosceles triangles. In this formula, n is equal to the number of sides of the polygon.Ī hexagon (six sides) can be divided into four triangles (6 - 2) and a dodecagon into 10 triangles (12 - 2).įor regular polygons, in which angles are all the same size and sides are the same length, the size of each angle in a polygon can be calculated by dividing the total size of angles (in degrees) by the total number of sides.įor a regular six-sided hexagon, each angle is: The above interior angle formula is derived by dividing a polygon into triangles, and this number can be found with the calculation: (6 - 2) × 180° = 720° How Many Triangles in That Polygon? So the sum of the interior angles for a hexagon can be found by using the formula: Where n equals the number of sides of the polygon.
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